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Finding the Fourth Proportional to 78,696.60, 108,598.16 and 42,885.86

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Solution

The fourth proportional to 78,696.60, 108,598.16 and 42,885.86 is: 59,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,696.60 : 108,598.16 = 42,885.86 : x
  2. Step 2: Convert to fraction form
    78,696.60/108,598.16 = 42,885.86/x
  3. Step 3: Cross multiply
    78,696.60x = 108,598.16 × 42,885.86
  4. Step 4: Simplify right side
    78,696.60x = 4,657,325,486.02
  5. Step 5: Solve for x
    x = 4,657,325,486.02/78,696.60
  6. Step 6: Final answer
    x = 59,180.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.